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Finding the Fourth Proportional to 7,509.89, 11,262 and 3,345.82

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Solution

The fourth proportional to 7,509.89, 11,262 and 3,345.82 is: 5,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.89 : 11,262 = 3,345.82 : x
  2. Step 2: Convert to fraction form
    7,509.89/11,262 = 3,345.82/x
  3. Step 3: Cross multiply
    7,509.89x = 11,262 × 3,345.82
  4. Step 4: Simplify right side
    7,509.89x = 37,680,624.84
  5. Step 5: Solve for x
    x = 37,680,624.84/7,509.89
  6. Step 6: Final answer
    x = 5,017.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.